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Finding the Fourth Proportional to 230.76, 345.78 and 204.79

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Solution

The fourth proportional to 230.76, 345.78 and 204.79 is: 306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.76 : 345.78 = 204.79 : x
  2. Step 2: Convert to fraction form
    230.76/345.78 = 204.79/x
  3. Step 3: Cross multiply
    230.76x = 345.78 × 204.79
  4. Step 4: Simplify right side
    230.76x = 70,811.26
  5. Step 5: Solve for x
    x = 70,811.26/230.76
  6. Step 6: Final answer
    x = 306.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.